write the equation of the line in fully simplified slope - intercept form.answerattempt 1 out of…

Explanation:

Step1: Find two points on the line

From the graph, two points are ((0, 3)) and ((1, - 2))

Step2: Calculate the slope (m)

Using the slope formula (m=\frac{y_2 - y_1}{x_2 - x_1}), let ((x_1,y_1)=(0,3)) and ((x_2,y_2)=(1,-2)). Then (m=\frac{-2 - 3}{1 - 0}=\frac{-5}{1}=-5)

Step3: Use the slope - intercept form (y = mx + b)

We know (m=-5) and (b = 3) (since the line crosses the (y) - axis at (y = 3), so (b) is the (y) - coordinate of the (y) - intercept)

Answer:

(y=-5x + 3)